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Employee Benefit Plans - Deferred Compensation Plans (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Deferred Compensation Arrangement with Individual, Excluding Share-based Payments and Postretirement Benefits [Line Items]      
Defined Contribution Plan, Cost $ 30.3 $ 23.4 $ 21.7
Supplemental Executive Retirement Plan [Member]      
Deferred Compensation Arrangement with Individual, Excluding Share-based Payments and Postretirement Benefits [Line Items]      
Deferred Compensation Liability, Current and Noncurrent 50.4 44.5  
Compensation expense (reduction in expense) 7.0 6.5 5.8
Deferred Compensation Plan For Select Group Of Employees [Member]      
Deferred Compensation Arrangement with Individual, Excluding Share-based Payments and Postretirement Benefits [Line Items]      
Deferred Compensation Liability, Current and Noncurrent 124.5 91.0  
Compensation expense (reduction in expense) $ 21.7 $ 5.3 $ 2.9